CONDITION EQUATION OF POLYMER FILAMENTS

Golovina V.V., Shakhova E.A., Rymkevich P.P. Condition equation of polymer filaments. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2020, vol. 20, no. 6, pp. 877-882 (in Russian). doi: 10.17586/2226-1494-2020-20-6-877-882

Subject of Research.Studies of thermal and mechanical properties of polymer filaments and fibers are carried out. Refinements are made to the previously obtained constitutive equation that describes deformation-relaxation processes in polymer materials. The refinement gives the possibility to describe the thermoviscoelastic behavior of the studied materials in a wide range of temperatures and mechanical stresses, as well as to obtain and study the polymer filaments condition equation in case of a variable temperature. Method. The state of polymer filaments and fibers is researched on the basis of the barrier theory using the balance equation, and the constitutive equations are obtained for the cases of one and a number of energy barriers. A one-barrier equation of polymer material condition is obtained by the thermodynamics method of elastic rods with taking into account the current temperature and the coefficient of linear expansion. The general equation of a polymer material condition is given for the case of an arbitrary number of barriers. Main Results. The constitutive equation describing the thermoviscoelastic properties of polymer materials is modernized. The condition equation of polymer fibers and filaments is obtained. A relationship between the maximum shrinkage temperature and the coefficient of linear expansion has been established. The dynamic modulus of elasticity is determined as a function of temperature. Practical Relevance. The paper illustrates the isometric heating method application for determination of the real modulus of elasticity as a function of temperature.

1. Tager A.A. Physical Chemistry of Polymers. Moscow, Himija Publ., 1978, 544 p. (in Russian)

2. Ferry J.D. Viscoelastic properties of polymers. New York - London, 1961.

3. Marikhin V.A., Miasnikova L.P. Supramolecular Structure of Polymers. Leningrad, Himija Publ., 1977, 240 p. (in Russian)

4. Rymkevich O.V. Methods of research, prediction and modeling of heat-shrinking textile material performance characteristics. Dissertation for the degree of candidate of technical sciences, SPbSUITD, 2013, 176 p. (in Russian)

5. Stalevich A.M. Deformation of Oriented Polymers. St. Petersburg, SPbSUITD, 2002, 250 p. (in Russian)

6. Rymkevich P.P., Golovina V.V., Makarov A.G., Romanova A.A., Shahova E.A. Equation of condition for materials of textile and light industry. The News of higher educational institutions. Technology of Light Industry, 2016, vol. 34, no. 4, pp. 30–33. (in Russian)

7. Rymkevich P.P., Stalevich A.M. Kinetic Theory of conformational transitions in polymers. Fiziko-Himija Polimerov: sintez, Svojstva i Primenenie, 1999, no. 5, pp. 52–57. (in Russian)

8. Rymkevich P.P., Romanova A.A., Gorshkov A.S., Makarov A.G. Physical basis of viscoelastic behavior of oriented amorphous-crystalline polymers. The News of higher educational institutions. Technology of Light Industry, 2012, vol. 16, no. 2, pp. 70–73. (in Russian)

9. Rymkevich P.P., Romanova A.A., Golovina V.V., Makarov A.G. The energy barriers model for the physical description of the viscoelasticity of synthetic polymers: application to the uniaxial orientational drawing of polyamide films. Journal of Macromolecular Science, Part B: Physics, 2013, vol. 52, no. 12, pp. 1829–1847. doi: 10.1080/00222348.2013.808906

10. Rymkevich P.P. Development of scientific foundations and prediction methods for the thermoviscoelastic properties of polymeric materials in the textile and consumer industry. Dissertation for the degree of doctor of technical sciences. St. Petersburg, 2018, 299 p. (in Russian)

11. Golovina V.V., Makarov A.G., Rymkevich P.P. Method of analogy and its physical basis for the amorphous-crystalline polymer filaments thermoviscoelasticity description. The News of higher educational institutions. Technology of Light Industry, 2013, vol. 19, no. 1, pp. 67–70. (in Russian)

12. Rymkevich P.P., Gorshkov A.S., Makarov A.G., Romanova A.A. Main constitutive equation of the viscoelastic behavior of unixially co-oriented polymers. Fibre Chemistry, 2014, vol. 46, no. 1, pp. 28–32. doi: 10.1007/s10692-014-9555-z

13. Gorshkov A.S., Makarov A.G., Romanova A.A., Rymkevich P.P. Modelling of directed polymers deformation processes based on the description of the kinetics of supramolecular structures separated by energy barriers. Magazine of Civil Engineering, 2013, no. 9(44), pp. 75–83. (in Russian). doi: 10.5862/MCE.44.10

14. Rumer Iu.B., Ryvkin M.Sh. Thermodynamics, Static Physics and Kinetics. Moscow, Nauka Publ., 1972, 400 p. (in Russian)

15. Romanova A.A. Mathematic simulation of filament deformation properties under dynamic loading. Dissertation for the degree of candidate of technical sciences, SPbSUITD, 1990, 167 p. (in Russian)

16. Shoshina V.I., Nikonovich G.V., Tashpulatov Iu.T. Polymer Isometric Research Method. Tashkent, Fan Publ., 1989, 176 p. (in Russian)

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License